Lower limit of percolation threshold on a square lattice with complex neighborhoods - supplemental material

File SM.pdf contains dependencies of P_{max}L^{beta/nu} on p for various neighborhoods containing sites from the 7th coordination zone on square vttice and arious linear system sizes L. P_{max} is probability that randomly selected site belongs to the largest cluster (of size S_{max}) and p is the occupation probability. The dependencies of S_{max} on p are calculated with Newman--Ziff algorithm and averaged over R=10^5 system realizations. beta=5/48 and nu=4/3 are the universal scaling exponents for 2-dimensional percolation.